Question

Please help with algebra question

Answer 1

We have that
5x+6y=10
4x+7y=19

using a graph tool
see the attached figure

Part A)
the solution is the point (-4,5)
x=-4
y=5

Part B)
we know that

If a system has at least one solution, it is said to be consistent .

If a consistent system has exactly one solution, it is independent 

so

the equations are independent and consistent. Their graphs intersect at one point